97767852 has 144 divisors (see below), whose sum is σ = 289239552. Its totient is φ = 25159680.

The previous prime is 97767841. The next prime is 97767907. The reversal of 97767852 is 25876779.

It is a junction number, because it is equal to n+sod(n) for n = 97767795 and 97767804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007868 + ... + 1007964.

It is an arithmetic number, because the mean of its divisors is an integer number (2008608).

Almost surely, 2^97767852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97767852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144619776).

97767852 is an abundant number, since it is smaller than the sum of its proper divisors (191471700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97767852 is a wasteful number, since it uses less digits than its factorization.

97767852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 97767852 is about 9887.7627398719. The cubic root of 97767852 is about 460.6792925356.

The spelling of 97767852 in words is "ninety-seven million, seven hundred sixty-seven thousand, eight hundred fifty-two".